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springcoil/Bootstrapped_Aalen_Additive.ipynb

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Bootstrapped Aalen Additive
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Bootstrapped_Aalen_Additive.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from lifelines.datasets import load_regression_dataset\n",
"regression_dataset = load_regression_dataset()\n",
"\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"from lifelines import AalenAdditiveFitter\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I'll rather crudely label the x axis and the y-axis\n",
"The important thing is that R is the predicted cumulative hazard and blue are the bootstrapped estimates. \n"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
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" [-----------------100%-----------------] 188 of 188 complete in 0.2 sec\n",
" [-----------------100%-----------------] 187 of 187 complete in 0.2 sec\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 189 of 189 complete in 0.2 sec\n",
" [-----------------100%-----------------] 196 of 196 complete in 0.2 sec\n",
" [-----------------100%-----------------] 188 of 188 complete in 0.2 sec\n",
" [-----------------100%-----------------] 188 of 188 complete in 0.2 sec\n",
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" [-----------------100%-----------------] 183 of 183 complete in 0.2 sec\n",
" [-----------------100%-----------------] 196 of 196 complete in 0.2 sec\n",
" [-----------------100%-----------------] 184 of 184 complete in 0.2 sec\n",
" [-----------------100%-----------------] 191 of 191 complete in 0.2 sec\n",
" [-----------------100%-----------------] 190 of 190 complete in 0.3 sec\n",
" [-----------------100%-----------------] 188 of 188 complete in 0.2 sec\n",
" [-----------------100%-----------------] 188 of 188 complete in 0.2 sec\n",
" [-----------------100%-----------------] 185 of 185 complete in 0.2 sec\n",
" [-----------------100%-----------------] 191 of 191 complete in 0.2 sec\n",
" [-----------------100%-----------------] 192 of 192 complete in 0.2 sec\n",
" [-----------------100%-----------------] 195 of 195 complete in 0.2 sec\n",
" [-----------------100%-----------------] 194 of 194 complete in 0.3 sec\n",
" [-----------------100%-----------------] 193 of 193 complete in 0.2 sec\n",
" [-----------------100%-----------------] 182 of 182 complete in 0.2 sec\n",
" [-----------------100%-----------------] 191 of 191 complete in 0.2 sec\n",
" [-----------------100%-----------------] 191 of 191 complete in 0.2 sec\n",
" [-----------------100%-----------------] 187 of 187 complete in 0.2 sec\n",
" [-----------------100%-----------------] 187 of 187 complete in 0.2 sec\n",
" [-----------------100%-----------------] 190 of 190 complete in 0.2 sec\n",
" [-----------------100%-----------------] 192 of 192 complete in 0.2 sec\n",
" [-----------------100%-----------------] 188 of 188 complete in 0.2 sec\n",
" [-----------------100%-----------------] 187 of 187 complete in 0.2 sec\n",
" [-----------------100%-----------------] 185 of 185 complete in 0.2 sec\n",
" [-----------------100%-----------------] 188 of 188 complete in 0.2 sec\n",
" [-----------------100%-----------------] 195 of 195 complete in 0.2 sec\n",
" [-----------------100%-----------------] 186 of 186 complete in 0.2 sec\n",
" [-----------------100%-----------------] 193 of 193 complete in 0.2 sec\n",
" [-----------------100%-----------------] 189 of 189 complete in 0.2 sec\n",
" [-----------------100%-----------------] 184 of 184 complete in 0.2 sec\n",
" [-----------------100%-----------------] 184 of 184 complete in 0.2 sec\n",
" [-----------------100%-----------------] 186 of 186 complete in 0.2 sec\n",
" [-----------------100%-----------------] 189 of 189 complete in 0.3 sec\n",
" [-----------------100%-----------------] 194 of 194 complete in 0.2 sec\n",
" [-----------------100%-----------------] 186 of 186 complete in 0.2 sec\n",
" [-----------------100%-----------------] 190 of 190 complete in 0.2 sec\n",
" [-----------------100%-----------------] 189 of 189 complete in 0.2 sec\n",
" [-----------------100%-----------------] 187 of 187 complete in 0.2 sec\n",
" [-----------------100%-----------------] 185 of 185 complete in 0.2 sec\n",
" [-----------------100%-----------------] 189 of 189 complete in 0.2 sec\n",
" [-----------------100%-----------------] 196 of 196 complete in 0.2 sec\n",
" [-----------------100%-----------------] 183 of 183 complete in 0.2 sec\n",
" [-----------------100%-----------------] 192 of 192 complete in 0.2 sec\n",
" [-----------------100%-----------------] 182 of 182 complete in 0.2 sec\n",
" [-----------------100%-----------------] 189 of 189 complete in 0.2 sec\n",
" [-----------------100%-----------------] 184 of 184 complete in 0.4 sec\n",
" [-----------------100%-----------------] 186 of 186 complete in 0.2 sec\n",
" [-----------------100%-----------------] 192 of 192 complete in 0.2 sec\n",
" [-----------------100%-----------------] 190 of 190 complete in 0.2 sec\n",
" [-----------------100%-----------------] 189 of 189 complete in 0.2 sec\n"
]
},
{
"data": {
"text/plain": [
"Text(0.5,0,'time_component')"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a13ae6710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12,8))\n",
"\n",
"aaf2 = AalenAdditiveFitter(fit_intercept=False)\n",
"aaf2.fit(regression_dataset, 'T', event_col='E')\n",
"for i in range(0, 500):\n",
" sample_index = np.random.choice(range(0, len(regression_dataset)), len(regression_dataset))\n",
" \n",
" regression_samples = regression_dataset.iloc[sample_index].reset_index()\n",
" \n",
" aaf2.fit(regression_samples, 'T', event_col='E')\n",
" aaf2.predict_cumulative_hazard(regression_samples)\n",
" \n",
" plt.plot(aaf2.predict_cumulative_hazard(regression_samples).mean(axis=1), color='xkcd:sky blue', alpha=0.2, zorder=1)\n",
"\n",
"\n",
"\n",
"aaf2.fit(regression_dataset, 'T', event_col='E')\n",
"plt.plot(aaf2.predict_cumulative_hazard(regression_dataset).mean(axis=1), color='red', zorder=5)\n",
"plt.title('Bootstrapped estimates Aalen Additive')\n",
"plt.ylabel('Cumulative Hazard')\n",
"plt.xlabel('time_component')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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